AFSP is the Alien Flight Student Program. Non-US citizens are required to go through this security process for certain training events (initial airman certificate, Instrument Rating, Multi Engine, etc.). https://www.flightschoolcandidates.gov/
To the OP, the current processing dates are updated...
I submitted a training request for an initial certificate (Commercial) about a month ago and it took 8 business days to receive the Final Approval. They already had my fingerprints from a previous training request.